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The aim of this novel work is to fill a gap that has appeared in the reversible computing, emerging domain of Futuristic Quantum Information Science. Themes in Quantum Information Science have been an emerging domain. This work targets the basic level void by terminology coverage of quantum circuit synthesis. Chapters introduce the synthesis approach of reversible adders, comparator, code converters, and median filter. This book then covers decomposition, mapping and optimization tools in quantum logic circuits. The flow of the work is organized to understand the synthesis of a quantum circuit that begins using quantum gates and then move into physical implementation on nano-computing technology.